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Q.

If $x = \tan 1, y = \tan 2, z = \tan 3$ then the descending order is

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a

$z, y, x$

b

$x, z, y$

c

$x, y, z$

d

$y, z, x$

answer is C.

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Detailed Solution

$1^{C} \equiv 57 °$ in $Q_{1}, \tan x$ is increasing

$2^{C} \equiv 114 °$ in $Q_{2}, \tan x$ is decreasing

$3^{C} \equiv 171 °$

$∴ x > z > y$

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